Answer:
Let the price of the maths book be m and price of the novel book be n
Given that,
Total cost of the books is $54
The price of math book is $8 more than 3 times the price of novel book.
we get,
The system of equation as,
Hence the system of equation to determine the price of the maths and novel book is,
Answer:
0.2460 = 24.60% probability that the mean weight of the sample of cows would differ from the population mean by more than 11 lbs if 116 cows are sampled at random from the herd.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation(which is the square root of the variance)
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
What is the probability that the mean weight of the sample of cows would differ from the population mean by more than 11 lbs if 116 cows are sampled at random from the herd?
This is 2 multiplied by the pvalue of Z when X = 1217 - 11 = 1206. So
By the Central Limit Theorem
has a pvalue of 0.1230
2*0.1230 = 0.2460
0.2460 = 24.60% probability that the mean weight of the sample of cows would differ from the population mean by more than 11 lbs if 116 cows are sampled at random from the herd.
Answer:
The selling price be $79.56 .
Step-by-step explanation:
Let us assume that the cost price be x.
As given
If the markup is $8.95 and the overhead is $4.31 .
Selling price = Cost price + Markup price + Overhead price
= x + 8.95 + 4.31
= x + 13.26
Profit = Selling price - Cost price
= x + 13.26 - x
= $ 13.26
Formula
Putting the values in the above formula
x = $ 66.3
Thus cost price be $66.3 .
Thus
Selling price = $66.3 + $13.26
= $ 79.56
Therefore the selling price be $79.56 .
Answer:
Step-by-step explanation:You can dly/3fcEdSxownload the answer here. Link below!
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